40 citations · 70 across the 3 of their papers we have counts for
5 papers
$\Hom$-Lie structures on Lie algebras
Jobir Adashev, Majidkhon Azizov, Vasily Voronin
We give a systematic description of $\Hom$-Lie structures on several classes of Lie algebras and of their relations with transposed Poisson structures. Our starting point is the ob…
One-generated nilpotent bicommutative algebras
Ivan Kaygorodov, Pilar Páez-Guillán, Vasily Voronin
We give a classification of - and -dimensional complex one-generated nilpotent bicommutative algebras.
The algebraic and geometric classification of nilpotent bicommutative algebras
Ivan Kaygorodov, María Pilar Paez Guillán, Vasily Voronin
We classify the -dimensional nilpotent bicommutative algebras over from both algebraic and geometric approaches.
On special identities for dialgebras
P. S. Kolesnikov, V. Yu. Voronin
For every variety of algebras over a field, there is a natural definition of a corresponding variety of dialgebras (Loday-type algebras). In particular, Lie dialgebras are equivale…
Special and exceptional Jordan dialgebras
Vasily Voronin
In this paper, we study the class of Jordan dialgebras. We develop an approach for reducing problems on dialgebras to the case of ordinary algebras. It is shown that straightforwar…